215 citations · 807 across the 39 of their papers we have counts for
4 papers · 1 filter
Multiplicities and dimensions in enveloping tensor categories
Friedrich Knop
In the previous paper arxiv:math/0610552 semisimple tensor categories were constructed out of certain regular Mal'cev categories. In this paper, we calculate the tensor product mul…
The subobject decomposition in enveloping tensor categories
Friedrich Knop
To every regular category equipped with a degree function one can attach a pseudo-abelian tensor category . We show that the generatin…
Tensor envelopes of regular categories
Friedrich Knop
We extend the calculus of relations to embed a regular category A into a family of pseudo-abelian tensor categories T(A,d) depending on a degree function d. Under the condition tha…
A construction of semisimple tensor categories
Friedrich Knop
Starting from an abelian category A such that every object has only finitely many subobjects we construct a semisimple tensor category T. We show that T interpolates the categories…